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Lesechka [4]
3 years ago
11

6) Candace Parker bought some new furniture for her house. Tax was included in the price

Mathematics
1 answer:
Darina [25.2K]3 years ago
3 0

Answer:

$1,754,31

Step-by-step explanation:

Furniture = $213 + $812.50 + $499.99 = $1,525.49

15% * $1,525.49 = $228.82

Total = $1,525.49 + $228.82 = $1,754,31

Candace should have gone to Wayfair

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A shelf is designed so it will fit in a 90º corner between two walls. The shelf has dimensions, rounded to the nearest tenth, as
den301095 [7]

Answer:

Yes, it will fit snugly in a 90º corner

Step-by-step explanation:

To do this, we simply need to check if the given sides of the shelf is right-angled.

So, we have:

Hypotenuse = \sqrt{242

Side\ 1 = Side\ 2 = 11

To check for right-angle triangle, we make use of:

Side\ 1^2 + Side\ 2^2 = Hypotenuse^2

This gives:

11^2 + 11^2 = \sqrt{242}^2

121 + 121 = \sqrt{242}^2

242 = \sqrt{242}^2

242 = 242

This shows that the given sides of the shelf is a right-angled triangle.

Hence, it will fit the wall

4 0
3 years ago
The students plan to eat lunch at a park. Each table can only seat 6 students.
AVprozaik [17]
8.

48/6 = 8. hope this helps :)
6 0
3 years ago
Read 2 more answers
If a=3 and b=5 , find b/(a+b)=<br>A) 8/5<br>B) 3/8<br>C)5/8<br>​
Sophie [7]
Answer: 5/8 || explanation: 5/(3+5) =5/8
6 0
3 years ago
Prove the divisibility:<br><br>45^45·15^15 by 75^30
garri49 [273]

Answer:

3^{75}.

Step-by-step explanation:

We have been an division problem: \frac{45^{45}*15^{15}}{75^{30}}.

We will simplify our division problem using rules of exponents.

Using product rule of exponents (a*b)^n=a^n*b^n we can write:

45^{45}=(9*5)^{45}=9^{45}*5^{45}

15^{15}=(3*5)^{15}=3^{15}*5^{15}

75^{30}=(15*5)^{30}=15^{30}*5^{30}

Substituting these values in our division problem we will get,

\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}

Using power rule of exponents a^n*a^m=a^{n+m} we will get,

\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}

\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}

Using product rule of exponents (a*b)^n=a^n*b^n we will get,

\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}

\frac{3^{45}*3^{45}*5^{60}*3^{15}}{3^{30}*5^{30}*5^{30}}

Using power rule of exponents a^n*a^m=a^{n+m} we will get,

\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}

\frac{3^{105}*5^{60}}{3^{30}*5^{60}}

\frac{3^{105}}{3^{30}}

Using quotient rule of exponent \frac{a^m}{a^n}=a^{m-n} we will get,

\frac{3^{105}}{3^{30}}=3^{105-30}

3^{105-30}=3^{75}

Therefore, our resulting quotient will be 3^{75}.

7 0
3 years ago
Help!!!!!!!!!!!!!!!!!!!
nalin [4]

no clue, man. sorry. i really wish i understood it so i could help you

3 0
3 years ago
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